400433440400 has 120 divisors (see below), whose sum is σ = 1099766616384. Its totient is φ = 137255155200.

The previous prime is 400433440391. The next prime is 400433440417. The reversal of 400433440400 is 4044334004.

It is a self number, because there is not a number n which added to its sum of digits gives 400433440400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11914019 + ... + 11947581.

Almost surely, 2^400433440400 is an apocalyptic number.

400433440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400433440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549883308192).

400433440400 is an abundant number, since it is smaller than the sum of its proper divisors (699333175984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400433440400 is a wasteful number, since it uses less digits than its factorization.

400433440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37849 (or 37838 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 400433440400 its reverse (4044334004), we get a palindrome (404477774404).

The spelling of 400433440400 in words is "four hundred billion, four hundred thirty-three million, four hundred forty thousand, four hundred".